非线性传输线中的孤子

分析了波在非线性无色散传输线和非线性有色散传输线中的传播情况,从而引入孤子的概念,分析了孤子的性质,并介绍了有关的实验.     

非线性薛定谔方程的Jacobi椭圆函数解

用修正的影射法解非线性薛定谔方程，得到了一些新的Jacobi椭圆函数展开解. 关键词： Jacobi椭圆函数 非线性薛定谔方程 修正影射法 行波解     

Regularity and Green’s relations for finite E-order-preserving transformations semigroups

Let (X,≤) be a totally ordered set, T _X the full transformation semigroup on X and E an arbitrary equivalence on X. We consider a subsemigroup of T _X defined by

Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1

The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators for the case 0 < α < 1. In the end we propose the q-analogue of MKZK operators.      

高离化态离子能级一般拟合公式的提出及研究

分析Ｊ．－Ｆ．Ｗｙａｒｔ和Ｉ．Ｍａｔｓｕｓｈｉｍａ等人提出的拟合公式，考虑高Ｚ离子的量子电动力学效应，综合提出能级的一般拟合公式：ΔＥ＝Ａ＋ＢＺＣ＋ＣＺ２Ｃ＋ＤＺ３Ｃ＋ＥＺ４Ｃ＋ＦＺ５Ｃ＋ＧＺ６Ｃ＋ＨＥ７Ｃ＋Ｈｉｇｈｅｒｏｒｄｅｒｔｅｒｍｓ。并以类Ｎｉ为例探讨了此公式的完善性和合理性。     

一类拟双线性型变分不等式解的存在性

本文引入和讨论了一类拟双线性型变分不等式解的存在性问题，其结果改进了文［４－６］中的相应结果．